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Finding the Fourth Proportional to 96,684.84, 145,034.25 and 40,468.41

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Solution

The fourth proportional to 96,684.84, 145,034.25 and 40,468.41 is: 60,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,684.84 : 145,034.25 = 40,468.41 : x
  2. Step 2: Convert to fraction form
    96,684.84/145,034.25 = 40,468.41/x
  3. Step 3: Cross multiply
    96,684.84x = 145,034.25 × 40,468.41
  4. Step 4: Simplify right side
    96,684.84x = 5,869,305,341.29
  5. Step 5: Solve for x
    x = 5,869,305,341.29/96,684.84
  6. Step 6: Final answer
    x = 60,705.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.